查询词典 polynomial

To avoid the present of pseudo-wave caused by the discretization of near-surface layer, an orthogonal polynomial expansion method has been developed to study the acoustic waves propagating in metals with continuous changes of near-surface elastic properties.

用一个适当阶数的多项式来表示表面层的弹性性质沿厚度方向的空间分布，这能够很好的反映其表面性质到未受影响下层性质的连续分布。

In order to reduce these shortcomings, on the basis of enriched polynomial basis functions, weighted orthogonal basis functions are used to obtain the MLS approximation by using a Schmidt orthogonalization. In the end, the improved LBIE method for elasticity fracture is proposed.

为了改善这些不足，本文在扩展的多项式基函数的基础上，利用Schmidt正交化方法构造带权的正交基函数，建立了断裂力学的改进的局部边界积分方程方法。

This algorithm is to use orthogonal polynomials to seek least-squares polynomial fitting.

详细说明：该算法是用正交多项式来求最小二乘拟合多项式。

Compare the complexity and precision of the polynomial method and orthogonal polynomials method used in geometrical adjustment, an experiment is made; some surface fitting method used in spatial co-registration of multiresolution image are studied and experiments are made to show their different in effects; in order to increase the spectral inherit, we make a histogram match in images to be fused.

比较了图像几何校正的多项式方法和正交多项式方法在复杂度与精度上的差异，进行了仿真实验；研究了不同插值技术在图像配准中的应用，对不同插值方法的效果进行了比较，给出了示意图；为消除图像灰度级不匹配对融合结果的影响，对待融合图像的灰度直方图进行了匹配处理。

As to nonparametric and semiparametric regression models, the most widely used regression methods include: local smoothness, including Nadaraya-Watson kernel estimate, Gasser-Muller estimate, local polynomial method; spline method(such as smoothing spline, spline penalies and so on); other is orthogonal series estimates, such as Fourier series and so on.

本文主要介绍Nadaraya-Watson核估计方法对非参数模型估计的思路和估计方法，变系数模型中函数系数的局部多项式估计，包括估计思路，估计计算。

As to nonparametric and semiparametric regression models, the most widely used regression methods include, spline method(such as smoothing spline, penalized spline and so on); local smoothness, such as Nadaraya-Watson kernel estimate, Gasser-Muller estimate, local polynomial method; the third is orthogonal series, including Fourier series and so on.

所以三次光滑样条应用比较广泛。本文应用三次光滑样条方法来估计单指标部分线性模型中单指标参数和变系数部分线性模型中的函数系数。

The result shows that all the three polynomials can be used to reconstruct the wavefront correctly, the reconstruction precision of the orthogonal Zemike polynomial in square zone is comparatively better though the difference of the reconstruction precision among the three polynomials is not apparent.

结果表明：对于方形区域上的波前重构，上述三种多项式都能正确地重构出待测波前，它们的重构精度差别不大，相比之下，方域上正交的Zernike多项式的对待测波前的重构精度更高。

We give left and right prediction of jump detection on basis of orthonormal polynomial. In theory analysis, we first give some theorems, then to proof the approximation, which is in a jump point detection by nonlinear prediction, can arrive one to number of samples. This result is considerable well. In the meantime, we study the approximate theory of measurement of jump point.

在理论分析中，我们首先给出了几个引理，然后证明了非线性预测法在检测单个突变点的逼近程度达到样本数的分之一，这样的结果是比较好的。

The distinguishing feature is a clear physical conception. HIFNC-Ⅱ is an orthonormal basis neural network model. The neurons' output nonlinear function in the hidden layer is an orthogonal system of polynomial, which optimizes the configuration of the neural network.

在智能控制理论方面，详细剖析了一种仿人智能控制器，证明了广义频率函数与非线性系统描述函数的关系，并将其应用于仿人智能控制器的稳定性分析，在理论上证明了HIC的鲁棒特性。

Finally,the mathematical expression be given outby curve fitting the simulation result base on the polynomial least square method.

最后利用最小二乘法对模拟结果进行曲线拟合得出收缩量与影响因素之间的函数关系，给出了数学表达式。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。